Mathematical pendulum in a rotating plane

[Deimantas]

Hello,

I'm looking for information regarding this equation:

or specifically in my case, when a=1:

.
This equation supposedly describes a mathematical pendulum in a rotating plane, however, I'm unable to find information on this specific subject. I'd really appreciate it if someone could show me where I could find some info/analysis on this. Thank you.

 

[Simon Bridge]

Have you tried looking for "pendulum in rotating reference frame" or "Foucaults Pendulum"?
Apart from that, the information you need about that equation should be in the same place you got the equation from.